I tried a TV rabbit ears antenna (has VHF ears and a UHF loop) while waiting for connectors to set up a proper antenna. I had an SMA male to F female (cable TV connector) adapter to make the connection between the SDRPlay RSP and the antenna's F male connector.

I was surprised how well the rabbit ears worked with the SDRPlay RSP. It works great in the VHF service band, wide FM broadcasts and UHF traffic. It even pulls in ADS-B signals. But I was really surprised that I could pull in some Medium Wave AM and short wave.

For a limited space indoor antenna you could definitely do worse than a set of rabbit ears.

I took a 'rabbit ears' TV aerial with me on holiday, along with my laptop and my then-current toy the FunCubeDongle Pro+. I was into UHF satellites at the time and if I set the lengths of the ears correctly (one quarter wave each), reception of the 250 MHz sats was very good. At full length they were just right for 144 MHz and fully-closed they were 6 inches each and worked well at 450 MHz.For MW(AM) I changed over to my multi-ferrite aerial.

Some of the digital signals on VHF and UHF are trunked radio systems. They have a control channel that puts out a continuous digital signal which controls the radios on the system. The voice data is transmitted on several other frequencies and is usually intermittent. http://www.unitrunker.com/ can be used with two receivers (one for the control channel, the other for the voice) to monitor the signals.